If I'm reading that correctly, you're tuning the 1st string up to a G, with the lowest five strings tuned C-E in fifths. I'd say... NOT 11's. :P
I'd start out by assembling a custom gauged set, high-to-low: 0.008, 0.011, 0.014, 0.024w, 0.038w, 0.052w. Then see how that feels and perhaps adjust the wound strings for comfort. Neglect not your trussrod. :)